{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## A Comparison of Evolution Stratagy and Reinforcement Learning on a Toy Dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Matplotlib config\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.gridspec as gridspec\n",
    "from IPython import display\n",
    "plt.rcParams['image.interpolation'] = 'nearest'\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Import Dependencies \n",
    "import os\n",
    "import sys\n",
    "import json\n",
    "import time\n",
    "import numpy as np\n",
    "from random import shuffle"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f32c68cd160>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Import our experiment code\n",
    "\n",
    "from experiment.Simulation import GaussianLandscape\n",
    "g = GaussianLandscape(n=30)\n",
    "g.plot_landscape()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x7f0b8610f4a8>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAARQAAAD8CAYAAAC2EFsiAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMS4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvNQv5yAAAIABJREFUeJztvX+sNdtZHvasb+acfe69GK5tAjX3XmS7sagipAZyhSFUkYWTFLsoN3/YxDRKbcfVlQKkJG0V7LQSakGqqVDAVYjJFYbYiGITB9UWdUuRwa0qFRfb0MTgONwYx/7wBZtinIr7nX2+mW/1j1nvzLve9b5rrZk9e5997rcfaWtm1lqzZu358ezn/TFrO+89TjjhhBPWwK3rHsAJJ5zw3MGJUE444YTVcCKUE044YTWcCOWEE05YDSdCOeGEE1bDiVBOOOGE1XBwQnHOfbtz7pPOuaedc28+9PFPOOGE/cEdMg/FOdcA+FcA/hKA2wB+HcB3ee9/+2CDOOGEE/aGQyuUbwLwtPf+U977KwDvBvDEgcdwwgkn7AntgY/3CIDPsu3bAF7OGzjnngTwJACcPXT2577y33th0omH23kgy3TZ7scdjr28H7dw5HTkcv+7Hj9fP/eb7/Z981h6HeaPaJ37Zjj2en0Rfv+jz/yh9/5PrdHXoQlFOxvR9fHePwXgKQD4msdf5N/0kTdGjfsVhtyj2Wv7Xfebiwb9qu1z9Q267L5tdt+6cc79Pmthn/dFt9K9sMb9L/HfuR/8N2v1dWhCuQ3gMbb9KIDP1e6868ncN5EcikBKxy09kNTeatejydS1JqnsQibXRSLWGGquJbWvaUvnZi1iOVYcmlB+HcDLnHMvAfB7AF4H4D+u2fGQZFLbdg0CqbnBcg+qBj6u3IOaJw67bi7yiqdWteSV0VyU7qc55DKXWHYhlQbdXlTKWjjoyLz3nXPuewH8EoAGwE95739rn8c8BiLZ9Vcpt3+JbHZRI3NgjcPqu+aYa5NIru/cQ1pLLg36g5DKMePgVOe9/wCAD8zZZykjr0kQtX0d+kaRx7Me7ByxWHW7ks0SMplDIrXKreaa1BJMSY3UqpXnKqkcr3YKuG4yqeln6Y0x97vVPGx8LNoDV1Is+4ZNMsudvSVY++auG41nF2K5H0nl6AllCdZQHKX62hthTXvXvrn1h5HGaBFLjSJZqlK0ffSy+Q7etaAdQ15XPj7t/OeIpUatLCGVY/ajHOeoApbE3Hclk12J5DouND+m9oBaxLIWgdQ8/LLPfUSK5sC6zrloTE615BRJSa08l5TKURPKXOyiOnJ1a5DIPkLKuj/EJheNWGpIZS7JpORRJhONSHY5JlB2oOba8/FYqkVe95JauR9I5TlBKPtSJbkLnCORQ+WjlPJPLHLp0CSkou2/BHPJRBLJLlGhufvkzl8NueSIZYkJNIdUjtXsOb4R7QHWBVyiSqyLuGakqAalX1iNXCSpAPmo0JLkttwY+T41RFJOhpsXVrYUxVSvnz+NXErEMic35bmEG08oS82YOapkCYns+0bK/QLy+risDWW6WsmZOrubPTqZlBSN3HcXWP1M50UnGI0cLGKpUSs5srnpps+NJpQ1yWQNIlkrMlSD2pCwRSz2wzWPOHLkMJWXyaSWSNaK/mgKA8irDItYatTKHL/KTSaVG0soS8hkV1Wi7b/E/1JzLI5c5IajVW54+6GYSKVk/sxFTBQpmeSIpORjsfarRZ/5rh0alVxKxFKjVixVsgupHKMf5bhGU4m1yKSGSNYgkd3fQ8qlhad+ESAlF810sZRKydTR9skpjBpVMte/kiu3UHp3STpfJbnkzEE+7m4853VqpTZl/ybgxhHKvsikRpHUkpLVX2mcNdglklMiFbnPLuMrkY7Wbq5vpaY+56jm9ZIsSuTASUAjlpJaea6+83PjCMVCLZksUSVLCSk3rtp2uUiEbCPJRSoW/gDE6ympLM2QlZBmzhwiqSWVnNN2rlmQ+95ctXDFop1XjZBypPJc8afcKEKZ6xspkUlJlaylbErlOdQQje4ziSM6uWgOtZ8bTSmRxRwysU2hsrmljclyunLkzBi5LVWLRSw5tbKUVG4Sbgyh7JtMcqpkLfOopq4GNaFIjVg0UtHMH6lSlqiVuWSjteXtZb/ad7fKlhK5RRSSWCwzaC1SyamUY3PMHs9IVsQcMtmFSGpIJHczz5WyWhQHyN+UGllQX7sQhoSmPuYrl3l+FavMarOmM1Q6cYeyVK0cs1LZxzFuBKHMUSf7IJO5RDLHeTsH1twnOTKp9ZVMy/mmj4RGAhqZlAiH18n1qWx/kzBJ6KquGclCmkFWOxr3HGWxti9lX4R19ISyFpnkSGEJkZRIZE6i3BJIpytQcrxOhMH3z80VUvN2smWexIQxEYWmSurMoLr8lBxK87rOVQacYDQzSLsGFqkcUqXsU/0cPaHUouaB1trWkEktkawd+bHAiWHYThPUdDLRTZtcfY05xOvTHBKdTGrIRtZbx9wFpV9+TYHUtt2VVGrHOkft7NuUOmpCsf7/ZI462EWZWG2XHq+mvITSTZfzk1htZZi4xuyxiIPGKJWHJJO8CVRWLNZ2DqlfKVVz/PtI08VSxbLNWqSytko5hF/mqAlFwxJTQ2urkUmNKpmraLTt2vFy1DhkLZPGViZxVIf6p7alRDfZJycOraxMNHmnbbo+z3+yS0TEIgyrbY5UCHXp9fF+x56XcqMIpcSwc5XJElWylET2kZbfKjcpkJpEFqQTtmTe1EZZiBykc1WWS1VS47AFlpk/dJ5yuSQlNWebsKkTlqCRiuXQrTV9luAQ6gS4YYQikfNfaO2WmDhLlcyh/CkEjVw4YWhRHWpD403f/6lTAEQGnAj4GCSZSFUiiWSZ6VM/NUHpodb8Tvyc1M7QZxGdpVQOZfrsEzeGUOaYEdoDX0smuyqZtf0p0t7n5dqNbasWy18Sk0dJpdRAEoytWFIiyplEvH/+fXOQL/zR/vLB1XwbS2DlosQ+k7waKmHuGA9JRjeGUHKoNUN42xzp1BDJWr6U0sW2/R/5Bz/nkJVRID7umnCsVAwxedhkkjN7NCJZolQsyPPVww7zDst1TBFJKkNZqoKeKyrlRhBK7sGcE+pdm0zmhpmtGyL3a5P3k9TdbNJ2180b+8Hk+9LDrfk2ct9BHkNz1GpEUvM+kOxTjp23LymTpQQizy8fj2U21YxhVxyahG4EoXDUnKC1yGQOkWjHlGNdkuy2S+aqlvwmyzUnIpX3aKsUC7W31Emp3iISzQziqkge30L8A9Qn5ROBNNGDTQ89PfLSZOH9lkhAEk4u+iO/V809fyzv9Fz/CArIncycv4LvaxEEX9faLjWBSgqm5rvJdvKByRFNycwZ2thkw49ZM0eK7YgdiOEcV1Vkom1Tf/lQcinhbDr359CuOSmFbrzu3Ozh30uWzYFFKlPfeZXCr+uxho+PnlA45pg62kNt9TfcunWqZBciyZluc6E5ZXORHqrnx931PZjYJJGqIt6msWhkAwAbbBNFQkRimTttL4isU0yeVszE1tjRnI6txw/6pFjmQDvPGiGUHMM3xX8CHD2hzPvnQMvUGMpSIphr4miqRSO5UiSIt62FVAqaaqmFdMRKH0vN/pZjNDZdJvLY4MrYTlUJJ5LIWdv3I2k03b3pmFlevIee3eXnuIu+vQXgCn3boGuma9ZEPzAxsaTffzKD+H2hQUuCI+KYjm1n68pjz1G2a7SZgyMnlAk16kSiRlXIfuaoljkmlRx3aewlWM5arV4SCMFyGs558Y77NDR1ohGGRibnQaEkJlBPBNKPJEIE0rJhugyp8HZdM5BR3w7Lpu1HFdM1MYEMSmEiFulLmQOpOIBYwewzqc3CPo5zYwilhLkmikUYuf3nHmNOOLv2O3JymJ96HkchCJJAOtSpFW7uUP8xKXAfSkwmZOJwVRIRTVAjTXcvIpCROGhZwX1uO54AnA0Dx9kW8C3QdfdAKmYgl4lY6HxvcV4+yAxINShNn2GI66Tu58awD9wIQimpk32Sya4mkhy/ti2/F4d82HcxdQiSiLSIj3UcjUTiZexI1ZQJJ5NzbCOVIolkJBFOIJJUqNz+wvwLANth6bqJYNp+IJe+vZcQywZXkGYQVytX2GQOroPfA9z0oXO3T5Wyz75vBKFoWOogi82R3cjkGEyfHDTHrd5uiuzI7fgtYp1EOHFwdaJHb6Zyi0zOL+/FRCJJpGfrUNYl+Cng+7bhE451ViCWBo2qVnqUCT5Vl2n4GqiL5OxCOPs2p24Uoeh5HPMfau6xl2RRMnFqzSNtTLwNAPR9vdOsadKbtvQ2cQ5x5CF932VJP5wsJMlQ6HiDq9Ffwk2czfZqVCVnW8REIteBWLFAlHGQIhkGOJXRsg3lFcSybTaJWrnCBhtsi0qlB/dpdeY517Nk63JW4n4O44eRuFGEMheaKokfbrvcMo9KJCPraL+xb0Yifbfwoovdcg5aiyT4mLSbuuYdGRnNmfqL1YkW6RnNn36bqhIiFEkkmjop+VI4ydBXNlTKuC2IZYvBGbzBFl0TE0d87rYJqUjVJ6FdtxqVsgSHIJnFhOKcewzAuwD8OwDuAXjKe/8259wLALwHwIsBfBrAd3rvv+iccwDeBuDVAJ4F8Abv/cdKx9FOwqwHuIIYcspE7lMyfRK1YhDIXDLpuwZNCFfwdTTLHLTDrrFpM938NpnwMC7AzZ3JrOFlpEi4acPJ5PzybqpKLjE94JfhQKQyNBMIyvowuHSbFAtTJdH2BRJi2WBSK7gA0Gwhw8wTkWwF4djXWZo+vFxi10zYQymWXRRKB+C/8N5/zDn3PAAfdc79MoA3APig9/6tzrk3A3gzgO8H8CoALwuflwN4e1hWHqxW6uX9F6VEs1oyqTJ9+sYkkW6pOrEQuiuFk4emmhOwPs1+6qcT27GPRCMYWidlEpGJXNI6EBOKdNICKZnQPvwOpzZSlQADUfSsnuouAHc5qBUAAwG2PbYbajrsdM6IhPtUpH8lVoZ5kjhkCHktLCYU7/0zAJ4J6/+fc+4TAB4B8ASAV4Rm7wTwIQyE8gSAd3nvPYBfc8497Jx7UehHP4aS2Fbnp9BNnZzfRBKQ1r5GlZAiIfKgZRcRS3zac2qlYUkUfdeiabuxv7YVBFChVrgSoe0SOEHwMlmnO2W7SJmc4ypVJpJISKFwpWL5Ump8KOz88CjPuE0E0oQ+NqJ8MyzPMJlAG1xhu0Fw0Z5H52SDLbaBXFLSTQdpKcOSObQG1iasVXwozrkXA/gGAB8G8NVEEt77Z5xzXxWaPQLgs2y326EsIhTn3JMAngSA533tw7PGUTJ1aNsik/hRSMkkS0gFIiES4eRxr0KlUJtbmrmDmFjGOqVbLTRJ2/Gr/HEaugbqi4eQNXVCpg45Yckx23Q9NlvmL7lESiqSXEoRHyAlFMshK80eIhdSKWTyELGwvrkJhIRUJpUyZvdGaiXNdh7axoluHA27NrXQlHdNuzWwM6E4574MwD8D8He89/92cJXoTZWyZB5q7/1TAJ4CgK9+/FEPlE9mzcmWKkS+myFVSG2ZJJMSkUQkMsPsuVduMkQjqE/WdQPtz7vtX8WSD8VaSnXCIz0bivJsr3B+eS8mE3qI+fYlYmLJkQpfauBRHekz4QRCbbQw80UYUzCB2gsAlymp9IJIGnafSHKQpucc7KpU9mVK7UQozrkzDGTys977XwjFf0CmjHPuRQA+H8pvA3iM7f4ogM/NOV7+xby8U3VqpxOE7KtarQQ/CScSk0QiMhGnvlP4tmV827VAMHcscknMoJFbOJnwiazLaiSH2NzRQ8bcIUuh4dHMuRTLnMnD/Sq5aI8EVynczKFtUiFSmQT/iRolaodfx/YC6LvJ/GnQDOvgRBIn/HGVUooA8TbUbmn+ValsLewS5XEA3gHgE977f8Cq3g/g9QDeGpbvY+Xf65x7NwZn7Jdy/pNdoRFEXJ+Wyd9VS5mUyMQkEk4ikkDUe0qSTDv103YJsTRthy6YPX3XjLkr8bmYbnCuRogKahyzMtKjh4x56Dhsd/ewKflJcuaPplSAvDrhjlnplKV+JLGALa0npB2UygaDT6Vte/RNGkaXpg8RDSfxGoW9Vvh4307eXRTKtwL4GwD+hXPuN0PZ38dAJD/vnHsTgM8AeG2o+wCGkPHTGMLGb9zh2OOJsfJKZB3V50ydHPFEbYSJI1VJRCREIpxAajM8+QNAfYxDbxNi6UcyCSTRNqrpI6M6uxCJNG9GNcLmQDnHFpvt1eA3kWpEqhXNr5IzfUrnkJ8/buaQ2UMqhBML7zPX98XgU2maIfqDC2DbbIJXyjJ95HSQul9lLjTlUutLWRO7RHn+T9jzC7xSae8BfM/S41nvxfA6rV4jCWqnqQ6q09QKkQl3vKqqhCsSIpKavAkL3Man9ZFchgquVraXGzRth4b5U6aM2kmZDOSSvqimvQoniSR1zKZndIzqcL8JPcyXYt0yfaRKkVEfIHbMapAOWW76UHSHmzcU2aF9JMR1O6PDdMN7SnQ8afrQ+ZcqJTZrOLnEE17XYK4Ddq2kOcIqUZ59YskXzvlOLIKhNkvJxFQlOedhLaFoIMk+WPOsnIeZg43eTHJ58p/E7+lM5FI/KC7r0zPHyrohC3YkDSKGS7bNyYQ7ZDWzx3LMasTCySSXxAZlafXJ9+uG/tp28KcAQNPQ2exHwiAi4STSoh9JQ39nZ7/TOq5NJsANIJQcrHDwVLYDeRjqBTDIRKoSi0gsKV3Koehy2xOp3LsEcHEVjzeYPlylDOegjX45+bnRoJJFYu7EvpPhhb9g6nBzRhJIyVFr+VKgLLXzpymTjpVzgrhg/VW+SOyQ+lPI9OFEwkmEK0bpqN0Vsd8s7wpYEzeaUIC6kJtFDLOOwxyws8hkF0KRJJKFG6NCMr+lCQ5a7j+hF/F3ReyQTcnl/PLuENUhdSD9JtIM0ggmZ/LUZspqoeENYmLKnQ6udGjZYFQoaCd/StP1iUrhvpTU7NQmw9rPQ79PMgFuKKHknE0l8tB8J7Wmjkkm0sSRRLKL2TOHVDoHXMQ+labthrEHlcKJhL7jMHFzC+BK7VaSBi1j/0n8QiD5Thp+PjQn7BbAn4TtPwlt/gSTSaTlpsxxzEqHrFQjPHlNM3WkY1y+CkB1wvSxVMrQvAd3zubMnjk4dIhYw40ilLknRzODLEw+hgVkwh2vaxNKPMj4gVDbMJ9K24/Rp1ilxLkn9GtJv6WcWLjzVcv+1PwmmzEjlvlOuKnDHbJEJktyU6SyyJmNnFAscuGOWVrmnLNUfjmtl1SKdM5Ks4fnCC0lmFoH7D78MzeKUDg0p2uubZxulaqRoY/86VDNnOkgNpms7ZgdHbJW+UAq92hC55AQ1/cNGjaj8y6/XvwhidcD6UjfCakJIgNeTts1Jo9m+sA4H3ROaMn9JpoPBpgyYiX5MNIYzZxOX+cq5Sr4rq7AldykVtZQJhb49T0EmQA3mFA07PKA8LC0pU4ScJ+J9oGyri33gRZA1+AeiAiDGmnod7Jlv4i6qaOByIPWh2XsiD3HFZquH9QJfbg62UI3fUoOWs0xC8TnWDsPLdJ3d3jOCfez8D61p4P7Umg8fB2Aa7lKiRMJp2FNaoXOJVcr1AYomzIlcjgUmQDPMUIBYjVSAlcrtB3V15g6c8hkV4ViKRO1XTB9QtYsZdBqmGMaEkiJcFIZDj2Fih0/H1ydcFVSSya5lwUB+7yU3t2hNgQ6BikVAqkVrrConKuUDVsizkiWZs/UdTxVp8xNmYPeuJen+v0+8jeCUGwHa8FEUUybktNWZsNyVJNJrckzV6HkfCeyHTCqFLC3kem/aEh2187nLp2ww3I6u5HpE8ydiAQ0dSJ9K5JMyL/CHbScSDrAdwD9v9ddcT7PgjJpm0E1JCYPnSuZHZt++fh9IFrSWKRKGXg8cs7S+YI44zLCs0+/SZL+sAdT60YQCsc+ToL0pYzlSibsCI0cpPKwyGQNhVL0o2BUKfe6wTmbzJ+CuvMZR3kmJSLriWCAwGFcmWjqhD+QMjtW850wdeI74E54yLvwfSWhUPCtbYGzHmg7QSwSF0ijN0QmPEwsfSdg22GdnLNTV9Pcv+RHkWbQXFh+RFoemkyAG0goErv5TbSM2ladac2M6vAlrVtqBaJM7jsXWo6FJBx2hbuuQdM16JvBbyL9J7WKZSQN4U8ZQ8aXdydzRxJHL5Yyca2gUIhIum4gkFGdKOO804dJkTrgDsIcsS3wwCYQC50vK3mNq5GtsaSxkUnFiKZt02jP2qjLw2rZ+ikPBaUU5NqTJE0grY6Dv/Q3FRZMnZzpg8xyF0i1EoVDHRB8QRTtAaZQ8TCEeiJJ392Jpy0YzR1mlkSKQ1uWTJ8t4C8H8rhzORHJXQwf/tWJWM74diCWLqgUYFAsZ6FO+aJpZIe2uWLpWJk0ocJ2w6I9dN7kks7jrn4Tvi5ftZDttO01cCMIZQ3kTp7qRZczq/EENo4ckQBlYpHrEjJXouSY1dqP38mO6FjnRz4Aw3on2nSRuRM6jEmFmz4yc5YTifbyYBeTyZ1+IhIiEHlKuFA7Y23PgqKgS0nEMxIGqY/hi8XXlJtL9OH+F1In4TQ4Q/1IJ2wO9e3y5HAIMgHuA0LJRXzU93SiFwAN34lGHGnn9SpFrhNq/CS8jPqRpNINfhSaJ4VPa7D0xpIp5WM5hYs1kr1U1olEeDnzo3Blcmc7kMIdxIRSw6+0Hr70aCoBgVR4ZEdGhOSHiEbzD3Fn7QZouil8TPko09jqiYVDU9NUDqTqRFMw+8KNI5TakNrcEyfJRc87UWZrWGLy1KoT/iRIdSKvnNXWuMJk1ecgQ8I8B4UjiqHJcDH/yHAvJxEyc3j51iaTO+wrW6TSsjo6DXd4fcdMIO7/4KFh2pakAfHdND+MVV4J1b8nHK2l8HCOTE5vG8+EdcJm511E7+uIT3kQeZUi1yUs/0iubaJQBiJc/MdiyWFi30mUes8JQ36kIpEEIsjFd5OZ82yo1tSJZfZYom1sSw7VC6C9DJP7SN8JHx/3lWjqxTKHGLTQcQ1yDz+/n3P3fE1fu+LoCYVPfbdLwk8OEYt33ORpxKTSys4lhZIjE9mfJA5ellMnfH9LmYR8FIr0zD2Nc+ZJMU0FThp8XYv4dEGVdIPPhJMJqRNJKAjrZ8o6B6mUFoNPpeuG34szrkq0cbdim59D+s6buKztEdLulxHJ0I1m3qQ3gWXqHDIF/+gJ5WhRq1CorVwvKRRJHsnPq4D2c5wxeZYgnYg6nfskSXUpEaz2K9+HhLUOUTTHIhOpUFQ+BfCAMqy7mEyftgEci9Co6oOXU9tCNLjp7g3+lFLDgNKPpnyRNd63jkxO7/IoqJkUaBXw3BPAJhL50Mg6uV6rUFrRRrtqJfWyEJrj1Wzb9an/hKCZQNwUEqqG1MmzGEjkDmIS4KYPkOahkDrpECsVIpWWfSKVwsfBCYO2uQrRTssMIcdhJZ5JH4j1Xo82t3JNgtvaOGpCcexve+ZOhze9mr/sKyb5J4Qcmcht+VDVrMsyy8maIxDZbsFNLknEIhU1ZCx/1UuqRZAKVye8Gc87kWRS8xXPEKsZTaWcceKQGbW03itlpesJ+0evjxQHzxtpQ3dKNLJgBl1XtuxRE4oFnpC1JrT3d4qoeWBzN1vNvhqZ1BCLQM0/FXJIv0n8RpQWMr6Xfp+SPwViO4R073axqXMXMQFopFICT3q7i1ilkHLxnZI/whWLRioL0RmKw4J8D017N81y0B4qW/bW3npeEbWS+6hR8Qs2u58l9XsA3dYjuJlAsEwhhVjonRzNjLlrlMtDzNkfCGpImmgrncu+vcUe+JpU+fQN+KWpEvTqJtXXmFC74OgViozszI30TBMyl/dpmn610GoVanwou/Y/ox/5NjGta85ETaU00rzRCIQgM2hDG8vckbxTSmzTyqQrKje8bEclFM65VCbxlN+aLyQ2fbhOlK+SxGSkq5L7XqEQcqFL/sJarl6uP6chbuxbxnwoQPmcxLdweh3aXvGhcHDy0HwrIlpyly3vim3qToaLcwqE71PkiCW3RyuWABDe2JiOn09Um8qbiESoTLbR9uN9T33pUaF9KJQjJ5TJKasRBQ9dAmlmZw4lguEv0t1PkBMnldsLX4pFJBZEe/KfALZpw8utq1TjU6lCSeFVKMC+jR9qvhzW4/8KmMrlPvE0G9o0ptKfQst9EwnhyAllgLy5LRlealMTAlVnNTs0uexi7mj7LuyveK5EvZqDImGpl0poTVcjD0LuWWtZG9mOq5Sw3ivn3vJpEKy/TZv219+at8iEH0u2XzuwcfSEwm9aPglyLXL7mDO5hycjIpfwnzf8ZlG37YGk63K/mr6WHos22376foofhMqn9S4hDtlGhRXt4fU7EMtSaJmzJqzrLJ9BTi7Kue+aJnqgbYLQEtXq81ByZEIgEtlX+v1RO2X5q3iaMzZ3U0tvOt/fctRqc1Lcavsp3FrzHs2adVTPl7KsltCSbuepvmjOE23frmD2rIQWqSI5M8q0feWSn762DRMvtYgJInfuG6REE+p8O0R4CD1alUioDpBmjO6Mtbapz1KWLD/e2jh6hQJoJo/+q1lqIx8a6XsBMM5SHk2XqJpBsBWG/Gj7lFSO1jajPPLH8gBTJjnICZRKWNXBXbjHz8SS73ImPlR3xpYQdXy/VjNfqIxIQzFpVIIJn64h/0kbRXB6QRrSHJGKxXrLWFM6kky4Gpl+DvaXk3L0hCIJIJexKdtb+/Bt/gCN66PJ000PIflRDmHy5PorHd/6RQ1o2h5NE/+2aYQ97Z5TLYr00EwdC5UEYu0qyaHUNScVTjzAMH3BWSJZMJFJA5tYCuQfP+gTuXSCFCTRABB11jwo8v+lGrFvSiL7csweucnDU+8nk0W7yel/2HrEc3dKM4fKuNnDTZ3xbw/Cm7kAM3taj/GdHjpztZmqWqarzBOx8lBqVE1h+1bbZyNXFrlMdRNh060t4bTurXu2RTqTPAalcNYO0Z47mN7Hoa41kqGsVw5LpWgC8gyDudMydWGqTdnGaD+YO9x/kv4lmlzmCAYomz60z3VN/wjcCIXdLyJyAAAgAElEQVQSmy5zJbYV7ZHrvB03e8aHcFQq0B/cuaqiti9LWuf6TranJ71pY0e07XTVTcZF0JSYXFeiJtpXloRChCA/EVmIZdI2kJjj55+rkxy5SKIJ24O5c0tVJFYY105QS0mplkxk/b6UCeGoFQqEQgEmZq1Nx6cTy9v3aKCZPby8CUY1/4Osey1JCpeeuVxW6tK6aYDTspaMxu3Jf8L9QknIFzHRWO0WQ5oLVCbg2qAWQv5Ki3Ti6ZpIjVQoD0BXKA80wAMXQZ3wig1bairkQunsIrTbDOqE8k84IWjmTrpM/SucjHJkUpqpbZ+TKwFHTyj8YW+jm7sU8dFMHT5Rk9wmk4nKKQ2fP4T3aL07y//qapiZBq/2nZBFxSeA/EE0t6m8Lcd2SDOOtcjOzpDKhMbbB5OnDdMKYDJ37ogu+Et+mrXI1QqRShuWDwB4EJPvxF1gIA/6cFIhsuD1jVhupnYU3dk2G2xxPhLJVVgnstjiHFfYZM0feaW09Hsgn4Ni+V32gZ17dc41AD4C4Pe899/hnHsJgHcDeAGAjwH4G977K+fcBsC7APw5AP8vgL/mvf907XH49AXar2YNwVgqxVrnKgUQvhSI/+aZcyZ39aGUCCTat4tS7rXMYlpP/xlwfnQtC+5/sL5P+Ke/tgXOtrF/JBeNJnLRojnSBOKmzgMXwBkRg6ZQ5LqmSoTZM0V38upE851o5o2WQStVhzSXqHza5zDaYY2jfB+ATwD48rD9wwB+1Hv/bufcTwB4E4C3h+UXvfd/2jn3utDur+U6dojVhMwfqbm5tbap2jHWlRDyqFJgmD5zYP20au3ksuoTmztNG/8OAhhvZYIkE8sHNe0vHnNtjDxXA6yM1ntED6QL6qRtwoRHGNQJn3GNdyUdtlyhcEIhs+cBKKaOVCAbVqbVaUomkMvVxaBOYiUyqJNYpehO2u2oWsqmjlVGONS0BYSdnLLOuUcB/EcAfjJsOwDfBuC9ock7AfzVsP5E2Eaof2VoXwVp11tkYt388S9zHNHQ6sb1hj+Q4de+7THMyOPnmR+Wmljjo/bVjdEdMnfic2i/v0rf3zqv8poAg9Qfx6HBGqusb5l6QOpo5abLSBDso5VJMjlrwz8IcrK4YB8iOEudUBvha7m7mdQJJxKuQq5wPpKG5UvJmTrAlF9ikcmUcxKbRjGRre+g3VWh/BiAvwfgeWH7hQD+2HtPd+JtAI+E9UcAfBYAvPedc+5Lof0f8g6dc08CeBIAHv7a5403cmyWDMO2TB/L3pfKRPbB/1YiWmdZTz05aKmgrUzm5j+ltC4VirUfX7fII3ESpurEcv0N31ePps191cH8DgZxkCqJplfsJpXywAZjeJm6kBn81iGlQnkQE1GpZCLVyYVSzn0oF3FbfzE4Yy3fiSSXnC9ly/aRxEF1QJqfYvlRJPalVhYTinPuOwB83nv/UefcK6hYaeor6qYC758C8BQAPPr4V431DezU+VrTRz4cnGC4U3aoS00fAFEuxz0AaFvjqzHkiKNEKtaDKLcTMknVieb2A+Lzp0V7uKN2FsHkiGToeNruRT2JwDaYOuxPzDkXy7R7zewZIzycTEhVWGSikcgFUqJhpNg1wNXF2fiQXwWiIFKRjtktNsm2NIMsJyxf5hyycn3f2EWhfCuAv+KcezWG0/vlGBTLw865NqiURwF8LrS/DeAxALedcy2ArwDwR6WDxAlolvIo/xG1Vs8fjg2u+D0r5H432vybiytsL6d29y62GP+355IRC93xPEzBy6RiIWjRIGlK5Eyfi0AmF1c4v9gW1Yl2y3Llok26VAWNSLhTlhRJy9Ybto2Bph8Axr9EartBtcjIjuVbkXkm5DMxlYlUJBqBGCTjLybfyZYRyUAscdlg8pyrps6kSCYlIpWJ5UMBbGWy73AxYTGheO/fAuAtABAUyn/pvf/rzrl/CuA1GCI9rwfwvrDL+8P2/xXqf8V7nygUDno8U2WRmjV0Au3U/PSEShLh23K9R49tM9zpm4sr9F2P7eWwPZo/Fy2iP1MncCLh25qGryUTvj6aPBOZRKZOok7030FJotLssaI/yXj5+DiJ5IiQvoOAQ5g4GgOhdN1ELID9UiBZqQmRSFOFiOGhsP2QWN+wMtku7O8fArYbYLs5H1XJdlzGKiSui5eTjyU2fzSzp/RC4KFeBpTYx1G+H8C7nXM/BOA3ALwjlL8DwM84557GoExeVzdAyhHpIhPF8pVY8q7W36IlvE19TEoFADYX25RUIEwgadJo/pNVFIoPNkIgkWDqnG+ulN/BUhqVkj08V7FooWE5dk40XLH0bBlASqNrJ2IBkExVc0Zqph3W24ZlwHIHakmZ5Ewe3s9mMnUmcjiP1qUj1kq958SSRnp0TQnEhJILFR/C9FmFULz3HwLwobD+KQDfpLS5BPDaOf06+PHGnUMq9diGkz79o9s5rsbtcwzKRiqVrhl+RYCBVLquGf9Y/V7XTyYQqRWpUOSSr0tTQa6rCiVWJpuLbUQmm/F2npaaWpG363TounPcNUEh0H3LSWXLzgMRyQUm0uigKhTel2sHtdIGk6nrDXOHSISOLcO7GqGQAvkyxKqEmzxSsVwAdx8C7nzZWWTqbFUVshlNnfRqnEfmTGr+5AzUNLpDkARyYwhl35C/hpJUhjbLoxHSHOKkAqSm0bDTFn0zeOElBmetIBYgVSeWSpEwf+UnVXJLKBPym+i/hWW1IkPIw3mqIJZc0pr89JgUygVihULg/zMcyIjI4ky75HRcbmLxY3CTRyMWIoxKpUJRHalKeFSH/CVk8liJbJOa2ahXxLpCQBrdkeuHwtETCkV3aLlEkTToRkWhY5vUa6TSB/OLq5rzkHfQdA36ro/VChATCxCrFqBu8qGEUGIiARA5YEmZtOij2zzN0eyFWol9KVqZ9LUQ+rYBN/zG8dLl0vwoXJVIhcJVTo/pP4f5edMuqUYoRCo5H4qmTKQieYi12wCXDwHPPnQRKQ9SI3fwALbY4Fk8gCumRqRy4SqFkwlXLNIZKx2ygO6MPZQjluOoCWUwefQnjmfOWmhGKmpA5g2ZMCnJTPU9emyxCQ9hMxIJb0/mEJlAfdOqxAJgMoUAjNOgc4IpYZx+cnrzmSsSYHAUT3OddCNRbLAdSUD+jvI6TcXw8zgrZMwf5OFkp6qETiX5S6S5w0mUzKQeurlo7cePa5k9Uo3kCIWVEZncwYN4Fg/iCud4Fg8mJo0kjRKZcDNHM3lyDtnrSLWXOHpCAab3eLha2QWD2qDeetVs2WCLbfITGJMO3QQN+sEkajC8VCiIpWm7UbVgfB8oKJeaK8BS/4lIgCEnZozkZMiE+020nEzpSxm+SupL4eBtCX1whIr4e+xo5WYNEQVXKRDrPJxM64B93jiJAHGuCM9u5SQiicUKHYc2dzepEzZVH5qfZDOaPdzxqpk5JTLhiqTGf3IoHDWhAPUOwSXYYIsODc5BuSwxUVA9XUCNSDgoGU4qFgDog0LhymUoL194TiAAxneLJJHQrXeO7WjucILRHbKdMIe02ziO9hSvifRdcDKQ/pILDOYMVw+8j0u2P0WChpOtnKjM8Wudsjll8tCgTK4uzvBs8yC4w5VMG1pqZEIqRuaacGWih4/riEQzew6NoycU7juRkR6uVmpMoHnYxupDqe/RjmqHtulitswUAsL7HWFulZ5N6NxVEAonkGgpiIRuPU4mkmRIuZwL34ke+YnP52xy59EdbvLkpnKQyoTWeVhZtgUrl6RSG+XhZKLlnDw0KROK6HBzh0ghViipUuFkYeWf5MhEEonlhL0O/wlw5IQymTzlG5kIxtrm5VxpSBNmukjniEkjrrf6AKCXNQ3QhF+TDcY/Zj9HXqXwiaXp5T4iiun76AqlYdupT2UiFivyI8trroVvw1SQ/MEmIuDrpExkd5pTtWPtakLtNREeIpaHwrqmUJijViqTO8xfIn0onGi08LD0o8TO2IlIpDNWI5Jj8p8AN4BQlvhLSM0QhseaR2jKkA5Zi3h4GYCkHZWRWQVSNA27CSp+TLS5Siximfwl3BnLzaAe0uLnBLJRI0JdcmyOrgkz223v0YBTn4kVaOPfnztgKbKzwaRscsE6K8IzV6GI9Smaw02biURkmaZM7uABdGgCEZEvZVIt/GVAm9LtN4sJ9EN1XThqQgGmB2gNZ6zsN6c0atRI2mYyzajdMHY921d7HaB0HuKQbuxElarEUiwyuiN9KXH/9eokgRbpkU5ZugN5eBmI70xKCuQ+FO1Y/JilCI9UJTLSczGl1OfIRDNziDS0KA5PWsuRiXTSDqcoVSrARCI1/rh948gJxQ4bW6CHdliflAltS/XAIclgiZlD7UiJ1DjOcvYu91vIB1uSCICEPKRisSI/pEroMYjVyeSIjd/3SQmma0Kkp0fsPwHilHqed2KZOUudsbyvDWJiyeWi8EjOQ+Flv825ERq2CYactD3aMR+FSOUOHgSZNrnck5xKAVIS0chE+uei/5raE46aUBymh3x66zid06QG0gziZVJKaiCi0oglcsSKXxSuUgBdpk7mkDym8i4RYvNHOlA1hyxXKTWRH56HwsfAy6re6WmQOleJJMiHwpcda18bJubH0nJQLpCSi6ZKmDoZnK+38OwmJQqLTEr5J7FvpEwm8l0eIPhODCKxnPsUUWzaTm2zNskcOaEMTtkloWNOIGTe8HKLCCwlAgCWYgEg2trqhPtSCHkiKysUKuN+FUk2mlNWj/xMZpA0jWqvxeiY5fknYNsWmXAi4cqkdEgtslNr8jCF4i9iEydHHmTWcAXC1UvOIctJxTJxiGSAiUg4iXBy4GkIVC9BZfLfI+W+u+KoCQWIHyjyUcyBRSzD9qQ65DE1YpnqUlKynLPDeqxOqJ5jF4VCdRqR5CI/PDU/JaPJtNGiQBr6tkHf3ov/uZUrB57pSmUamfB9lmTGArGpoyW1kXp5aKjnJg6RyZ3IvEnVilwuIROpXBJzxyASnoXNcW+mH6Xm72nn4EYRSrltmqMiVcjURnei1vhENCWSpkLHKmWo436U5QqFvqtOLKlK4arEUiwyCsTNI+5P4WPJ+rdIjYAtpaljmTicTDZsqR2DL3PhYq5MFFVC+SUaaUjfCCeNKZHtfPSPSKWi5Z1oUzxG2bEKkUgSicijkkjGLG2+vSKOmlBy7/Jw5IiD1/N2sU8kDStrisMiFzJjqG/7pa0rSPKoSUDKO2Zj/0nJ9LGyaWVIWRIPfzlQU4kvdJdJ2Xe/HvjxH0DqByFSkbkqc8iE90cEQuuaM1YsOZF0TROpEalK0siNVDF6OVcjuVAxVyVX/QZ91yRqJCER+U7YkeC4RiPg4IXJMj8TVqqWoSzOvtXMmZyS6cfSVNEM/dh+lGF9IhHLIUvjsbYliVB9iUj4tkYmRJNEOPy4llp8y/c8q5b/o3cCP/6D0BPQLlg577bGGctPF4/sSN+JYercDdMOUKIaqQpaSlOFk0ap3ZRrMikQzcRR3yYOqoQrkohINBKpebk0Ads/83/XS3DUhEKo8ZvkFImmWujR4iQylKdOWF6uEQh3tnKVQvtRG8IclaKpE75u56XYRGKZQnx7UjIyYtRFx2nR451vlxMxDnDDHyvl7zJOIJTABuSndeAmDm1LMuHbjEiuLm6hb5vRvLGmY7ScrNzEKflLLBMn8ZsYRBKpEfl2ujw/NedrbMv+T6qr/NeGShw9oczxoSzpO1Yb0qeilw/7xuQCxCnR0iHL21FbQvquszXe1Ckrl3WRHzsJLiWamEw0grNmBv5bbwgr1l1GZMLXpULR9uHrVoSH+U64IqHZ9uYQgiQRjWQo50T6S7TUes1Xsr081xUJn6BLe+1Ars/Fygxw1IRSSr3nZozc1vJXhjZ2XkhMBqnJwstpXzWtHrpCIeKQTtla1CgUqpsTUrYiQVypyGNz8/ON393ip/9Relf/wx+BfrNzJywnFbqUfK4UjVi4iSNJJagR3yLM9TopElIKXDWUCMJ6a7jkL+Emjvq+DlMl28vNpEi4WUOTcQHpUq7nkJsVcF2LB64w8fy14usef8g/9ZGvL7aTJoRlXpSyVnP1uTZzzZylb4KWsmapjWX2TGV51aIlxmnb8p2hf/cFl/jjLwLPfz7wB787BRMcRXO4OSP9JzU3dsHUIRLpWwx/Vr6JIyklIol9I7YpNOeFPxnNkU7Xvmtx9/JcVyMWmdSaOxqBSIUHAI+7j3rvHy+d/hocuUIpO2K1zFnNAcvXNfWS87nEfdgKZ3o3J1Uq1AaAUCplpN8vNn2oTc6vwuvmRIOsbU05/psvnKEJUzP03fCSYPRX0MOXLjtaNWimTijjREJmTezwTB9uOTm0DBMTueRIhtcRgWjv70hVws2bxLQhItmVTErgynBFHDWhAGWHLNXLX33ppAXiFwwnYpgIhDDXjLHa8bZASiDLCUWP9lCdpl5K0SCrvJZMLNCkdGPm7DRwm1zSE4DwJQFMBAJMaqRvm9E/QqO0cj4spUEEUatKSuQUHXt7rps3GpFw8tinqbOHp/+oCcWxfyrN3cREChKSKHKRIE46lkLhCgawTRweCu7FuJaaO/w7Td9Hf9+mNqOW19WQjp49m7kuLdB0iGa6rA5ysjuT/oTdIpH0Bbp0fpGc70QrW9vEiVTJ5blNJGuRyTXhqAkFwilr3byynP/yc6IAYkUjHba8XY35oqkTrZ01tiXQ1AmQi/zYGbW8XiMdvo98n8caxzDtZY++vYWmuxeRyrAvQ+bu4+QxLG+N/VskkuR1KESiqQpJBM+OTtY8uQzElZZtca4TSdcAlxubSHJkMtfU4eeWq5E9KRPtsEeHwYeSksiyBLeYWKQiAXSSyZlJtA+B+0gm4kizY+V+NZAKzCLaOSZQWm/ltOhkUmv6EClwYim1HdZjEgEmf5dGJFKREEFQeck5u8TEsVTJ1eW57XS9RJ5I1orsXMPTfeSEoqfe1/pVCNLsIUiHLp/wqCZ/hHwotE6hYEut8D5qc0+0cRNqzB/aN6dgqC+tjhNJdv8+vSZECE1w0PaZu43aDutBEQYlAkzRtMnMtN/QlURSZ/LY5oz2VxeyX9NXIs0bjUwsZVIiElmWJLDhYMrEGsLRQSOPOU5Brb00f4BYnQxt4sQzS3FIwqgxcZaYPbpSqzN/+Ho5Oa6LtnPp97m3jhs2ETcnC60tgauQYdmM50pTI9pLdVaKu60ydNMll/GqRYz6vhlVydXlJjVvLCKZY+qU1InmhNVIRS5XxJETij1J9VxSsfaVJhCV1ZKNnMZROmFpfwuSgOJx2ndQjQk0l2QkicRtbCLR1UlMKlQmoZEILbka0YhEmjm5iI7+xm86tYAMA5ffGt7YquRS8ZVIYoGxzZdyvYRaothD6PioCYX7UNLQqX0mashmIpK0H/mQpy/w1ftFcuYNN5M05L5H8lBXEAzfj5eV3hdSj6eQiESOQIDUfNTUCK/TTJsckaSmTtmhWjuXSVGVSOKYY+poS7muYa4j9v5TKPmb2nrgal4mzPtZUhNJHltTFvqk0zr57IIaxcbHa5GHrCuZMzUkYkEjEq5GgIlIqI2lSCzzhq/XqhJpEtWVVaiSkolTIhZk1s2TjGt/oo+aUKRTVj40uYdjLkr7pqQwKIu8ObMukXBo463xN5WUXo40pAkjUatIdiUSThg580aL7mgOVSvJTZ25noWDTVWikQlNF1MiFG0ZnVCxfQSO2NxwjgypD6VGnnMsCTHnoJlDcf18EtHyZmoxJ6yukUWJJKZ2FKmxHaxD/knqZAV285GUiCQXHi47VOepEsorGUPBl2cpich1IO870dahrGvg9RqRWI7YPZHNURMK96HknIrT9nw7f+6vbsmc4g/RPrFUSRAxLIW2f45kAJtMlpg3mipJozmpAikRjNWOh4OrVckccwfKOpT1uSgRxv3+Lk8xiiEeMO2hmvMwNWPX97L5ExLn0Ccb2jeaiptj6XzEVjLalLB2zySVHJnknK5W9IbX5XNN5jte1ZBycLxmfSW1Dtglpk7NQ8/VCN/mfdSUrYCjJhT538YlIuEkIsnDeuBqHrID/D/STnB7+KXhSO7FQDBNlyarkdkTmzu6MqGy2giOlbhmvUuj+UG0MiuKwx2vpomzVKFAWedLuZ7DEThjCTsNwzn3MICfBPD1GBwefxPAJwG8B8CLAXwawHd677/onHMA3gbg1QCeBfAG7/3HSseg37JpezjLRCQWiXACkYRgPoB7fjBn4TpJTCgS/kKfb6fz2TUTqeRUChD7TIbtfIJazvFqqZG5LwBaGa+m41VGcCwn7BxCgSgD0vvQui9rE9i0NnvCrt2/DcD/6r1/jXPuHMCDAP4+gA9679/qnHszgDcD+H4ArwLwsvB5OYC3h2UWVoo3EYlGIpxAXO5CWQ/tnF+G5woqbzwiFyIWTioSWmh9TrZrMp8I0nBwblqC2jIZxUlMnMuzekVySHUiTRyNVKz9pJm0EhYTinPuywH8BQBvAADv/RWAK+fcEwBeEZq9E8CHMBDKEwDe5Ycp4n7NOfewc+5F3vtnzGOMJk+eTCSRmCQiCaT2l2COWrgpJCOvfI9EmSRoMN6MrotJBdBVCk9Y40tp5uQiO5PPRbbTyYSTUb0PxfCX5MhkrkKBsc2Xcr0GuyiPI0pseymALwD4aefcvw/gowC+D8BXE0l4759xzn1VaP8IgM+y/W+HsohQnHNPAngSAB79WocG3Xwi0UikVqksMYd2JZG1zZsSMUgPv/arViIYRio1kHPHSAKxVIumTGqyXnf2l0gTZ47PpJReb5HJXFLRVKVl5likcywKJez7jQD+tvf+w865t2Ewbyxoc+skE9p6758C8BQA/NnHb431OTJRFYkkEkupzLVdSw//0gu0y4XVPPi5NpIstJutRfxd5U0p9rHMHgmuWGibKxBOLpYyqUmht8hE6yPJL6klkyWhYijrfCnXc9hFmRCOSKHcBnDbe//hsP1eDITyB2TKOOdeBODzrP1jbP9HAXyuOMC+j8ikqEosIikplUOZRvswibZhaV1NMlXA2kn7u0dk0oxLTix8v8AJrgvFGTUjw8Q5Uyf3R1jSpFmiTLQX+1TnqySSfflO5v6g0XXgbayQ8BqEMxOLD+e9/33n3Gedc1/nvf8kgFcC+O3weT2At4bl+8Iu7wfwvc65d2Nwxn4p5z8BYknDna8qmdQSSU7NWPVQ2lltrDINa5CLvLm0Oos8qE67C6zEJ8tcUiDVCJXJOlpambOx0zZNWJNqxlImiULhZMLzSyRR5MjESrPPmTzILOX6HFwDgUjsevi/DeBnQ4TnUwDeCOAWgJ93zr0JwGcAvDa0/QCGkPHTGMLGb6w5QNP1kZmT/DUDEJNGiUhyJHLsZpGGLfLefIJUJZJkJHI+lIV3Dc+MHYaXJw7NycpJQZtiYJEyIecrJ5BadWIpE+vdHSjrUNZzkNeuRCQHJJqdDuO9/00A2v95vFJp6wF8z5z+nfdouhDpyZGJRhYlIrkOk0jbdw2UlAQ3W7hZw/enNhqJSP+LgKN+DUhzh8r4kiuNK2HWcDLQ3repIROuUFQykQSyK6HUmjx8CWObozb3xCKRPZPLkeTX5ZGQCUESh0YWc4lkjkkkt2tNopq6EixTZ45Zo/Wp+Uus42Zg5aDQ0ory8LY8PJw6b/U6q81VjkykeVNLINcx58muhLCnd3h490cLJ2JAqs9EbmsXzlIxUMprFEtOoWgXa9cEOgkZgSFw56umUDSna454ODnJ48gh9XqUJ1UkU6NekECa5BbXzflbCy3PpFqZaNGcXbJiS8Qi10vQlMmR4IiGooOrEwA6eZQe/pKKke1z5dZxZBtZlyubC02RUHkuj6R089Wqkt4oL0A6XafuYrWhldUqEa0N/9e+vmvDn2y1qTLRiCLnI6klFSjr2vI5gOMmFKZQIr8JEF8guW0pFsu3ssSvsk+nbS1K4WBNhYCVz4WV72L0ZakSvq4RhKZOLDOmS0LH6V9j8AzYKM/EUiU5ZbLEd1JLJiViqXw94jpxhEOKkSSucVLQtmvJJEcySwhmrlLJlZeQCwcDummjkYt2U0rikdtaOwFtTpg0DyXOTZnaxKSRvq+TvpfD+yPnLX/Rr0gmUqmsbfJAWZfns+ZekNfbusbXiKMnlBHaL79UCZZi6aFf0FpzqGQm8TayfB8KZRfFUeN41dpCHLOvO6aWGWs5YIGJbOTfZpB/JWfqbBG/SNhj+Me+4Q+3Ggx/tmXMRL+LyTNHnSwlEw1aTlBNX/IHaUUcNaFIp2yiRoCUSCR5aGRSaw7lokZWvRwvjDqrrIQ5yWoa0ciyGlIhzPCdyIQ2DTX+EJmjEuegcNVyHvVFfhPVCauZOvtSKMisA+m5165FLs9oFzNoDxGfoyYUQPGdAKk6scqWmkM5RZJLiKsNL8u2c7CrP0S7iUpJUaU25q5NtC7JA9BCyfGS6jTi4Tkr0xwqYTv4TVQnbI1CqSGMXd/fkeva9hzUZjfLuhVx9IQywsrx0Bhfe/BLZKKpEo0wakhEUzGyjYbaXyeLROaSSw1y4UmlTM7BK80bWSeXluNVmj9SrSQmDzd1aud/rVEoc1QKMuvIrEvUKpF9XP+ZuDmEAqQXhCNnDmmEw/exCCNHMjlzZ44/pfSLxOtLWZK1kNEhidLNu+DGrQv/6ipFOl6lL2XKhg37BVOn79rwjo5CJlY0R5JEjjwO7ZA94oQ2fpibB408CJ1RX4oOzY0CaTfEnPR9ftwalEhAA7+J5P45F4f2i9iwpbYLK+f+DwtSlcTTQ2qOW5ktq2+TI3b6q4uMqVP6zHkBsIZUtKVct1BDCFrawNw+dsTxEwoRhFVXU6/112W2LTLZJX2ft9PqStj1FwqYr0xk2QJYaoTqpnYTIehOWns7UjPj3CYsqlPzno5WX6tM+DaUfaGsQ1nPYYr8HRkAAB4oSURBVI3rD9zfqfcRSidBIw+CNG34PlboOUcmJSKxSEQbX+3F1UKEpbwTXge2baGraCPHtBAawcgZ8a0ENyu0zNWJmg27VGEs2Q+FdSjrOeTURynDWVMqe8LNIRQgr0YInDy0kzwn9CyPWSITjUhKN89aWbMSklSs41NbDi3HpCLvpG9vjUltcu5XaaZM3RrEULGUvpOr7Xmac1JDAEvyUGoIBso6X87BHlXFmrhZhELIqREJy9+ikZOmWOak8AO6IrEUizYmDi0HBNBfArSyYOUvWe64mjKhfmaglIPCiUHbR1MtVkh5ah98MjVh4rVUydJ3eHaFpVSoTB5rj4lsEjeTUAj0wNecKKutpmY61h6ivoZMSkRSe2EtGZszdSRhaVeY1EaHRdmvGvS/0dD+LTAmCs0PUqta6H2dOLIT1MmlkhFbq1T2FeFZG5I0Ssc5wNN+swmFQ1McpbbyAliEo9VrZDKXSObeaNKOJkWikUrOzJFttTBxTpnw8maa+b5vY6fp0J3+D4LT4WInrZ0pa09mbfpOSmZMLqEtp0bmRnhMJHO0G9Dmd2fIXeMD47lDKITqi8naa2U1ikIqE4laP4pVnsv/kOShEUGOFOai1lGrgJsk/O80JJHknLJ8n04Q1jQ1QeZ9nTU/mNFOBSeSGlnB2xvkwq8/37XmECviuUcoHHPNIa1c64vfMDmHLcQ+Vt+5cXFonn6NVIBYpawFoUz4Nv3BVy8e/vRt4jTsK+tsc0em3Z+P6qTrGtt3Upp5be6n1txJQMTAG9zNnXEBTi4KsWikQrsdCM9tQiEQYZQeYu1mqCGCkuqo6UMSWslBKhVJaVoCOkZtynYrlhZajEltPMITd58qj2lI2h+ox2YTVynyLzkAjOaOqU6grANpu7UUSgJJJBqJWCxAbc9YGyKWDKloXR4A9wehcFhqJAcrIU1TIrVJblq/Vt2clwFlPb8HedlS9dIWjh+gEYX0l0hysFLwh7pUrZC5M4WKKyI7ayiU2WSiEUnNr1sOBVKhJlaXe3ry7z9CqUHJOWuVaz4Ta/85pMajOtSXTGIrXclc29ZYL5WF8fSt7pDVp3aMTRkqK0d3NOesdMYavpPaXJRVyYSrkrtsnTDH1JHqhO9LF0cQi3YPaj80K+P+JRTzF6WwD6GGEKz+95XMVuM3qVQY6n5K39Z/G8tcFEkgBK5A4qU9rcHYRjpjhw7z5o1WVmvGrEImc1SKZfYQqfDtDKzD7OHpv38JpQa1hDNHvZacvxxrXp2avhplqakZhVi6hj/0qfLg28Bk/kgFQnV6G5GvknPGAnkC2JuZI8mkRCSWUjkT7TRlIknFUCmlhMYVcf8SyjU6rhZjaeSGvqu2r9VfhTOWHLIU4eHQHK98m5tBOQKh9nw5rE/mzrBzRagYyhKZdrnyLLgyAZaZPLxeKhGq46QCFB21kp/2gPuXUI4FcwitRCZafe0VzkV1SKlk2mhKIxc2BiYCkXVVztnIGauYO7uojZJ5lFUnljLRlEqJVIgoZDuuVuS6ACeTA/hQ0p+WmwB+YzdKGaEx2h3gbdpqrH2MOQQiz5m2tBy4IUOWHLKE3DQE0hcytFciN4JA4n4nc6fqvR0Y5UvbQqyPsMikY+XyQ7BYSrbTyElKLSX7NqfOVsbxEwoRQAudQPg6r9MIpvZh03wHc/afi7nHykVpavZtxLYG2YafE7IyWP6JZtYQZPiY6iXJSJSiO9MBXPosziELbR8YS/Vh5GRC0FSKRSISOWKxclgKaudApHIyeWohbdAGk4NV1uX25fvJNjmUzBlZLwlAI0lNtWn7WftAy5BNzRMq19SL3Nd0wPKyPrQfU+2xrhkzW51wWCaP5kfh5Rxk6lBb7js5Q2runE27jrZN4f0fbSgr4PgVyiGxNKRKyJlfWru5/Wp91jhPa8stNdeKD8s/AdJQb7o+1XMfS1ynEwhvwxFFdwD7gS+pDm0frV2VOrHIwnLKWqpCM4lkn7J8hkrZI+5fQuFmVM6votUtMaMsdVCCRSaWr8j6LrxO9mOpEkmwrF/+hjFAZo3lP8llvsZ+Fk21TP3HyWxRqv3QaJlfJLefXKoPpWbqWGSiEYll/vC2OWWj9efTotyhVsLRmzy+ZX9FSqbDGi+9lU4oz0rlsMwXPjY+3whvr5lNQGoClcybGv9QiSxzJpDsTxJOeJZphrZSev2wLqM9cU4Kh5bHwqM7kf9k6KCsTICUILT1HJkk8KKBfLCXJLVJM0fWSTOnE22lCZTB/WbyeDIDLWfs2pDhUa2OUHrArXKt/0Z8JHLHyjlPZR9a+Df3kSou7CfViaYycmn3to/FcMBKArLe3QHKxGL5VHLEkyUVWUHEskuGrGxTY/5oJtfhcdSEsldoD4zVLue30IhO+6WX/dQeV9tfkok1xhoTp1GWmvkjtrn/pBPEMZSnqkWSBLWz/Ccy8Q3AqE7uSXNnaLjM5Mntb5KJjOxoD3QNmVihZD4g2UepTyozzJ49YidCcc79XefcbznnPu6c+znn3IVz7iXOuQ87537HOfce59x5aLsJ20+H+hcvPrBGBjK0XKor9a+ZCpZK0Qikxvchj2eRTO6YrSjTTB2LWCRB5UiR9aWZO5qfRCMHQq0DNokAcf/J1FmdyWOh1G7Wg5hztkp1obXL7b8C9ug/AXYgFOfcIwD+MwCPe++/HsMt9zoAPwzgR733LwPwRQBvCru8CcAXvfd/GsCPhnaFgwz3jZ9DBnNRcs5qZpD2MEIp4yZMztSQ0OolcWhlVl98XaqTVllmTCCezKb9oVfJ3JnjgM2Gi4eG80yeWoUi9wOUh5DUCV/KemD5m8aaAqnpS/PlHA67mjwtgAeccy2ABwE8A+DbALw31L8TwF8N60+EbYT6VzrnKoLlK8D6tbbIyarXTACtf74EbLXCy3LqpERQitM0q8py6oR/F61fhokIyrPY01KbTEnWaf0RupFMQl2Ng7UEy4dibZtzwc4lil2xQ197UimLf++997/nnPsRAJ8BcAfA/wbgowD+2HtPw70N4JGw/giAz4Z9O+fclwC8EMAf8n6dc08CeBIAHntspdFyx7k8kVqfnVFP5TwC1LJl7vg8ojP3e1gkRnU1ZFJSJ3x/vi5IlJs7w1dLw8K5ZW4yJSrny+LcJ0Oj/SgUYMGDV0qVl7BuNmpfGbFZ1H597GLyPB+D6ngJgK8B8BCAVylNM5NgplTvvX/Ke/+49/7xr/xTg7wezZ6lqPnVlu1lvVQt8kGEqJPlUmVYER2rjaYqcmRifR/LnNKcsWKZM3dq/pxraJefTIna0FINF0uTh1BSKBY5lKI8KmqcsaVOagfI667PnKnBLo/pXwTwu977LwCAc+4XAPx5AA8759qgUh4F8LnQ/jaAxwDcDibSVwD4ox2OXz/63HWqVSidsm0pFarrRXvZF2CTija2GsLibXPkAqSkYZmDYVs6Y63ojlQXBGsyJb6v9gJh1IaTydRxnULR6msQtZe5J4RcFKbY6XMGu/hQPgPgm51zDwZfyCsB/DaAXwXwmtDm9QDeF9bfH7YR6n/Fe1/8Y5K+vRWrlJK60CDluyLlAaS/4lId1ERW5P5ynzkfbezW8WRdzbp1bpTzYKmTknlj5ZTkHLCA4luRkykNOy/3odSaPLOQI5FaZXGziWaxQvHef9g5914AH8NwFn4DwFMA/mcA73bO/VAoe0fY5R0AfsY59zQGZfK64jFKPlsafckvkZtykZOKZc72okwqD65GLLWi9VOLnA/FIj5t3TJpZH8KWWoTKaVTC7SsLna8ypySXEhZttWcs9UKBSiTRI58bvbzfXDsYvLAe/8DAH5AFH8KwDcpbS8BvHaX43XNMOCRZvjkzUve4AXKDlhZliMxSSo12DXt3vJ9GEpDLS+ok3GobZNMVZBmtubf5Zn2kaaSPV8KgPT9HaCsUKxliSR2Uim7onTj5JyuMxyyOz35B+92HXjwyXvuocldYO1BrFUmBBnF0co0UrEIRPpNNMKyfCiyP0kktO9cMrHaQ6yzOjJ3gPSlPqkirHd5aNvyuUgCoT55/kmEGoUy1+Q5amg32PVGdDQcNaFI0E0dqRSCdmPkHJ6aAuF1uX0PAYtQNBOFymvIJOeINXwnOWdsbs4TubT+lyc3OxsheX8HyCsUKOW1yuQgoF8iWcaxhDDa/H78R2MPOHpCoXwHAGi6e3FlafQ50iBYfg1JKvswd3KQfeSIhLZrycSqV8oGMqlzxmrmDaCrFs3nIp21Q3kbv78zdRqvl/wmNT6WvYJPjESovVGsXxfq19rHpUV7xpETSuqUjVRKrSqp8a9Y5k6JVGrNHd5PbXKb5ozl6zmTh++fIxZZz7dpuAV1wqM501fM5ZlIImmTffkSwDS7PVAmh118IEdjAmlEcWasL3yM96BWjpxQws3Hbm6uUnxbMH1y3y5HBDlSORR2MXlyBFJr/rT5UDEgE9B04ijlqBT/nlTOf9JlIn+7kMHqREKKhJs2mkqx9iXUPqJnM9rOazoHR00oXlUotwAMpNJK5WGpDquNZRLlSCVn0mh1Uo3MMYl4Oyt0LE0eWQaUiUUhGMt3MnyldHKkkvlTds6mJyWZtmCOyQNRX1O2M2oIo9TGMmGovGTuGMQi74U94agJBWCylxbdxCJmGJm1T6A90DXmzqEhj13yndB6jTIp+VCyvpNYfViqxCIQ7eVA6dSNVEtIaBsxN+dkLtEshpw8uoOuUqgtWPucH4TXy21eJqEouZMPJQZ30CZhZIskSv6NfUPeS3Lb2sfattQH1dWQCTd1LtKyydTRfSeaGgEg1uPozlTfJm1p23oTGUCcIYvCOdTIZK8h4hqzRrvwJSLJtZH+lDbT1jjE/elDYVEedkEi0wfMQSt/2XNRHNleyxWh7TmRHa5ulpo8NeYOLXORnhyZSCIKSzJ1NN+J5YyVJtHwVfWclNzflPJyAPHfjZawC2Hw61jdD40rRyCacqnpE9CViCyTJBJp9rh4TyQiD3O0kD4U7qAl0yfJTcn5RbRyiTXUC79v5D3UIJ9wR21kf3JdIxLat0QmG1a2idtwR6z2B+i6r0QnGM05a7WzokAJSpGdNaE+/w42kUh1YpFKDXJkIv0kBXViHfJ+VCj816sJT6KWm2L6U0rKpJSxmlMm9qCn+iUElTN5OHHQdkmlyG0o66ojVovS6AltGsFQ3bR/SiwSUXueIctT7scyrKNKdm2TNNTMHut/iiU0xcHLrdAxta18/21PT/5RE4p8FZluNjJ9tLT8JJR8SH8JgasQ7YbkZKOVW2WlkDGV5chkI8ovIEyd2BHLiUIzbbTUe1pqfhbaj2DVJzPcS6ypSKS5I6+ZSSr8geYOVv4Pf/Ji1/o5NNOHO2e1daMbaercryYPIH0owcwJpk/bk9mjhJL5N6shlZK/ZBdYZk7NMXL+E4tIaFuSibYelpoj1jJpYqVhzw2b87No850k0aF9EklJeWTrndKA/0+OJBXqEKiTRLJPvm6RiaFO5D0jCeb+MnmkD4UUSmz6qP4UzVE67BxvzzkDS0PJu4Sga8wdKlPMmCKxtLGpk6oTO7JT8qdI5PJPtDBzhNoITw5zTZxF5g6tc1IBdvOhaDkocr2STPaMIyeU2EHXok+iPtKfoqbmH5oEJKpvTLEPR87coW1OGBDbMjwc1icy0RyxNlGUoj0a0XBYyiZptwaR0LmwEh1z0R1TWEjnrFyXztgaH4o0Xaz8E75tPMKWErmfFQqP8tBN145mj+5PUZ20MtMVYpvfNBqJrG0C1cCK9GhEQkvN7LGcsYnfJHXE5sLC6fwmWug3Vh+av0S21XBPM312QQ25QLTJ/ihI4pCkApST2GR//MC8TCOTyj+POCmUlDi6cZupleBPkU5ak1T2hZwzdo5KkVeFb1tEQnWGWaPVcb9J3hErfShxW4IVAeLLqa3usAWma6z6UOKG86FZJ5aZY6oTAvelaD6UVpRxcKWikUyr1FeSiaZCcp8VcdSEwqM89AvWoI9IZaybSyqWE3YX5+xapGWZO7xOqhBa11SJQSbcb2I5YgEZzdFJpGTuWCTEEakebVKlpdDIfA7h8+uhttEYiSsTjZnmZsnOJJMa3G+EAsSOWE4qal0NqewTJRViRXt4vdanXNfMHo08Msok9ZtYjti8OpE+EmteWQkth0VtN85yz6Z9rAV975yT1VIsHNljOgw/fdqjZBFLCTUmT+FdnQMrE20IR4jhpMnojnbz5UiF0EJEf7TJppcgFxauyTWxoJEJHY/KJJHw8gKZXF2cKWSSKgstsmPVA7FzNeegzWbEro2cqVNDOhyqg5ZIpdbkKQ2WUEEkVC2v/8nkSdGhgeaI7dFUK5XEUXsdyW5LoJEIL9fMHV6eVSbDDPbpuzqxWSIjOwRNVdQ4anOQRDP97egCprfUokYiVA7kFUrW9NFIBUiVSY1dBegqJUMmfL2WMO43QqEoj+aIJVIBgDYqr1MqwJ5MIHmjlswcCxqB8PWZUR5JJn3bYNtsVOerXAeQlGsmUI2jNudjoeMAOya1aWRReo5rFEqxT8cqaQeZTZt75Ky0+8ydaqkS2eZk8gzo0WIMDQdVspRUojyVPqTpaybQmgpmqSlVY+7IpeGM1ciE8nc0U4fKayI7+gRKeefrasgRhdamZOoA9dc+l7ui+lVqzR6+z4z3ciRJnEyeFBTlIQlMpDGXVFIcSK3wAywNGQMpidC6plaEGWSRifXGr5Ydq5lAmkmjkUjJx7Iq6PtbIWCNTDSFAlEGpY7qs6RCsJy2pf0y4NdfksMcMrmfCAXgqmQ+qRB4Rm3T9dG7PwBTK3MHZ91MWnmN6bNilIeIBNDJ5ArnFWRiqxPNBCLkIz9xu9y7PbOQM3NyZJIjEo1AtLZFpbTiz5UkDb5eSyjaPisP70gxRXksUhnqW5VUJOlIUuEm0LAfO2qNqbJ2Bq3Wl0YomtljqBJAVyYE3RcSt5MTJ0m1oTlwp/71/BWtzWqYQyaagixdU8tM2uXVgBLkj8kcMrH62gOOnFBivwkRCEV+NCWSI5XQSMFCtcJvohoFMvds8/Y1UR4YkRxBJj0abHE+1DGTRg8N66pl2FdXG7wPiVwdEJRKLqlNUyJzlCIvl4SQDmbZE7ImseSIhJY1hHIyeaYoj6o2GKlY5g+hidq10cNZVCv810fe5zXvAWmo/TWsifQwIgFSf8lQFpMJn8OEEwWBr2vqhMpzURq+/2oKpKQCOLlo5oylKDRzxzqeZu7ksPT1gNy6RhR8XY6pxgRaCUdNKACyxFEilQZTmr6EfFN5QvzvhJEZlHay7N2dmufLuqkURQLYJg6AhEws1VGrTrhpI6M7w1IzrXRzaDXnrGXm5EhBI5Iagtj3U2ORCC+rIZQSkdxvhEJRHos4CLm6Yhvz4RZ/e9pgnLyp2sVW+kXN7SeOLes4kQBzVImVQ5InF9oX0FWLLCNIYlkNOVNHa8uXVhToWJAjFMvk4esnQrFBDleNVHLRH6rL+VV4m65pRCIcYSCW8Z2gfnqYixm3S522cgisD41IhqVOJvFwbJKR/pF0YmrrXZ7U3NFyU7Qx8LJZsNSgNHlkW1lX8p3MUSNrKpd9KxS534o4ckIhH0odqUhopJJFaJIjlr7F9H9ATLVMo2VYolDEV/FsmyeP5ogEgEoalhpJCSPNNbHUyTgedlwNJV9K0fRpPdS/IeUPvpXtqhHImmSiHXMp5DH3oVDkfiviyAklDhmXSEXWL4Yglil3Jc62JdVCkCdzyTtDXrTXSGRYnyI4Q7tlZJL6ObRM2JgseJRHM3dyTtpFaHug9r95JMFoZo0VLuZtoNTniOlQCmUXQsn1vxKOmlDSKM98UrFMIHLYZv0vxWfhXr5aKJgStNdXSiQCSGdomihW9pPU5aZIM4iOyZeWk1b9vkvIxjJvcjkmkjxKKuU6UXrw11Yo9xOhAGkeypqkokE1pWqsJRF2Hsp0ksh+31Zu32LrTDk0thrgkRwqL5GJ5VcZj62sc8LSyjXs9H5PzryxyKQ2zf5YsE9CQaF8BRS7c879FIDvAPB57/3Xh7IXAHgPgBcD+DSA7/Tef9E55wC8DcCrATwL4A3e+4+FfV4P4L8O3f6Q9/6dtYPMkcYuqAkvKzvpYwymUVw2TZ1QA04evF+Cpkj4UjNxaLuWTCy/Ch23rFTy5bxMrs9GSaHINny/tcGPWVNu9aFtW8RSu15SLSuiprt/AuAfAngXK3szgA9679/qnHtz2P5+AK8C8LLweTmAtwN4eSCgHwDwOIZo8Eedc+/33n+xdPCUTOIb8GB+FcSzxoWCIjSi0dpo4Hky2gNpEcm0HkdsNNNljl9Fq+PL5Hsp45uLpu2HSarbDujO6swcy/maUyZLzR+NMGRZiVS049aqE1rWEEpJuayAYnfe+//DOfdiUfwEgFeE9XcC+BAGQnkCwLu89x7ArznnHnbOvSi0/WXv/R8BgHPulwF8O4Cfyx5byZRt0IuyeRGgXBtNsVhEJPu2EuX0iJEObf9aIuFtS2Qi+0vGIRROOg49JD2HOHJtmqZH3zVo277+j9KBvEKhdY7cQ39Ic+hQhKKVXYNC0fDV3vtnAMB7/4xz7qtC+SMAPsva3Q5lVnkC59yTAJ4Mm9tXuf/94wvHeB34SgB/uHz30v/eroodx3pw3KTx3qSxAsDXrdXR2jysJZH6THla6P1TAJ4CAOfcR7z3j683vP3iJo33Jo0VuFnjvUljBYbxrtVX6gWswx8EUwZh+flQfhvAY6zdowA+lyk/4YQTnkNYSijvB/D6sP56AO9j5f+JG/DNAL4UTKNfAvCXnXPPd849H8BfDmUnnHDCcwg1YeOfw+BU/Urn3G0M0Zq3Avh559ybAHwGwGtD8w9gCBk/jSFs/EYA8N7/kXPuBwH8emj335KDtoCn6r/KUeAmjfcmjRW4WeO9SWMFVhyvGwIyJ5xwwgm7Y6nJc8IJJ5yQ4EQoJ5xwwmo4WkJxzn27c+6TzrmnQzbudY/nMefcrzrnPuGc+y3n3PeF8hc4537ZOfc7Yfn8UO6cc/9DGP8/d8594zWMuXHO/YZz7hfD9kuccx8OY32Pc+48lG/C9tOh/sXXMNaHnXPvdc79y3COv+XIz+3fDffBx51zP+ecuziW8+uc+ynn3Oedcx9nZbPPpXPu9aH974RXZ8rw3h/dB0NS+78G8FIA5wD+HwB/5prH9CIA3xjWnwfgXwH4MwD+ewBvDuVvBvDDYf3VAP4XDDk43wzgw9cw5v8cwP8I4BfD9s8DeF1Y/wkAfyusfzeAnwjrrwPwnmsY6zsB/Kdh/RzAw8d6bjEkZf4ugAfYeX3DsZxfAH8BwDcC+Dgrm3UuAbwAwKfC8vlh/fnFYx/6xqk8Id8C4JfY9lsAvOW6xyXG+D4AfwnAJwG8KJS9CMAnw/o/BvBdrP3Y7kDjexTABwF8G4BfDDfMHwJo5TnGEML/lrDehnbugGP98vCAOlF+rOeWMr9fEM7XLwL4D4/p/GJ4cZcTyqxzCeC7APxjVh61sz7HavJUp+pfB4Jk/QYAH4Z4DQFA6TWEQ+HHAPw9TJO2vBDAH3vv6Y0VPp5xrKH+S6H9ofBSAF8A8NPBRPtJ59xDONJz673/PQA/giFl4hkM5+ujON7zC8w/l4vO8bESSnWq/qHhnPsyAP8MwN/x3v/bXFOl7CDfwTlH0018tHI8132+WwwS/e3e+28A8CcYZLmFax1v8D88AeAlAL4GwEMY3rS3xnTd5zeHnV+X4ThWQjnKVH3n3BkGMvlZ7/0vhOK5ryEcAt8K4K845z4N4N0YzJ4fA/Cwc46SGfl4xrGG+q8AUJN4uBZuA7jtvf9w2H4vBoI5xnMLAH8RwO9677/gvb8L4BcA/Hkc7/kFDvS6zLESyq8DeFnwmp9jcGS9/zoH5JxzAN4B4BPe+3/Aqua+hrB3eO/f4r1/1Hv/Ygzn7le8938dwK8CeI0xVvoOrwntD/YL6r3/fQCfdc7RW6+vBPDbOMJzG/AZAN/snHsw3Bc03qM8v8oY9ve6zKEcWQucSq/GEEn51wD+qyMYz3+AQfL9cwC/GT6vxmALfxDA74TlC0J7B+DHw/j/BYDHr2ncr8AU5XkpgP8bw6sR/xTAJpRfhO2nQ/1Lr2GcfxbAR8L5/Z8wRBaO9twC+G8A/EsAHwfwMwA2x3J+Mcwz9AyG+TBuA3jTknMJ4G+GMT8N4I01xz6l3p9wwgmr4VhNnhNOOOEG4kQoJ5xwwmo4EcoJJ5ywGk6EcsIJJ6yGE6GccMIJq+FEKCeccMJqOBHKCSecsBr+f3EZ3APk3LFdAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f0b8614fb70>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# generate a toy 2D regression dataset\n",
    "sz = 1000\n",
    "X,Y = np.meshgrid(np.linspace(-1,1,sz),np.linspace(-1,1,sz))\n",
    "\n",
    "# Generate four Gaussians\n",
    "\n",
    "mux,muy,sigma=0.3,-0.3,4\n",
    "G1 = np.exp(-((X-mux)**2+(Y-muy)**2)/2.0*sigma**2)\n",
    "mux,muy,sigma=-0.3,0.3,2\n",
    "G2 = np.exp(-((X-mux)**2+(Y-muy)**2)/2.0*sigma**2)\n",
    "mux,muy,sigma=0.6,0.6,2\n",
    "G3 = np.exp(-((X-mux)**2+(Y-muy)**2)/2.0*sigma**2)\n",
    "mux,muy,sigma=-0.4,-0.2,3\n",
    "G4 = np.exp(-((X-mux)**2+(Y-muy)**2)/2.0*sigma**2)\n",
    "\n",
    "# Combine Gaussians with addition and subtraction\n",
    "G = G1 + G2 - G3 - G4\n",
    "\n",
    "# Plot Dataset\n",
    "fig,ax = plt.subplots()\n",
    "im = ax.imshow(G, vmin=-1, vmax=1, cmap='jet')\n",
    "w = np.array([500.0, 500.0]) # start point\n",
    "\n",
    "noise = np.random.randn(200, 2)\n",
    "wp = np.expand_dims(w, 0) + sigma*noise\n",
    "x,y = zip(*wp)\n",
    "plt.scatter(x,y,4,'k', edgecolors='face')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### NeuroEvolution Solution"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f80fa910470>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "np.random.seed(3)\n",
    "nn = 4 # number of steps to take (and plot horizontally)\n",
    "alpha = 0.03 # learning rate\n",
    "sigma = 3 # standard deviation of the samples around current parameter vector\n",
    "\n",
    "w = np.array([70.0, 60.0]) # start point\n",
    "plt.figure(figsize=(20,5))\n",
    "\n",
    "prevx, prevy = [], []\n",
    "for q in range(nn):\n",
    "    \n",
    "    # draw the optimization landscape\n",
    "    ax1 = plt.subplot(1,nn,q+1)\n",
    "    plt.imshow(G, vmin=-1, vmax=1, cmap='jet')\n",
    "\n",
    "    # draw a population of samples in black\n",
    "    noise = np.random.randn(200, 2)\n",
    "    wp = np.expand_dims(w, 0) + sigma*noise\n",
    "    x,y = zip(*wp)\n",
    "    plt.scatter(x,y,4,'k', edgecolors='face')\n",
    "\n",
    "    # draw the current parameter vector in white\n",
    "    plt.scatter([w[0]],[w[1]],40,'w', edgecolors='face')\n",
    "\n",
    "    # draw estimated gradient as white arrow\n",
    "    R = np.array([G[int(wi[1]), int(wi[0])] for wi in wp])\n",
    "    R -= R.mean()\n",
    "    R /= R.std() # standardize the rewards to be N(0,1) gaussian\n",
    "    g = np.dot(R, noise)\n",
    "    u = alpha * g\n",
    "    plt.arrow(w[0], w[1], u[0], u[1], head_width=3, head_length=5, fc='w', ec='w')\n",
    "    plt.axis('off')\n",
    "    plt.title('iteration %d, reward %.2f' % (q+1, G[int(w[0]), int(w[1])]))\n",
    "    \n",
    "    # draw the history of optimization as a white line\n",
    "    prevx.append(w[0])\n",
    "    prevy.append(w[1])\n",
    "    if len(prevx) > 0:\n",
    "        plt.plot(prevx, prevy, 'wo-')\n",
    "    \n",
    "    w += u\n",
    "    plt.axis('tight')\n",
    "    \n",
    "#plt.savefig('evo.png',bbox_inches='tight',pad_inches=0,dpi=200)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Making it More Challenging"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f32c61a4780>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Import our experiment code\n",
    "\n",
    "from experiment.Simulation import GaussianLandscape\n",
    "g = GaussianLandscape(n=20)\n",
    "g.plot_landscape()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fc838e638d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# generate a toy 2D regression dataset\n",
    "sz = 1000\n",
    "X,Y = np.meshgrid(np.linspace(-1,1,sz),np.linspace(-1,1,sz))\n",
    "\n",
    "# Generate four Gaussians\n",
    "mux,muy,sigma=0.3,-0.3,4\n",
    "G1 = np.exp(-((X-mux)**2+(Y-muy)**2)/2.0*sigma**2)\n",
    "mux,muy,sigma=-0.3,0.3,2\n",
    "G2 = np.exp(-((X-mux)**2+(Y-muy)**2)/2.0*sigma**2)\n",
    "mux,muy,sigma=0.6,0.6,2\n",
    "G3 = np.exp(-((X-mux)**2+(Y-muy)**2)/2.0*sigma**2)\n",
    "mux,muy,sigma=-0.4,-0.2,3\n",
    "G4 = np.exp(-((X-mux)**2+(Y-muy)**2)/2.0*sigma**2)\n",
    "mux,muy,sigma=-0.4,-0.1,7\n",
    "G5 = np.exp(-((X-mux)**2+(Y-muy)**2)/2.0*sigma**2)\n",
    "mux,muy,sigma=-0,-0,2\n",
    "G6 = np.exp(-((X-mux)**2+(Y-muy)**2)/2.0*sigma**2)\n",
    "\n",
    "# Combine Gaussians with addition and subtraction\n",
    "G = G1 + G2 - G3 - G4 + G5 - G6\n",
    "\n",
    "# Plot Dataset\n",
    "fig,ax = plt.subplots()\n",
    "im = ax.imshow(G, vmin=-1, vmax=1, cmap='jet')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "ename": "IndexError",
     "evalue": "index 1024 is out of bounds for axis 0 with size 1000",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mIndexError\u001b[0m                                Traceback (most recent call last)",
      "\u001b[0;32m<ipython-input-36-1046ab032f8d>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[1;32m     33\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     34\u001b[0m         \u001b[0;31m# draw estimated gradient as white arrow\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 35\u001b[0;31m         \u001b[0mR\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0marray\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mG\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mwi\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mwi\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;32mfor\u001b[0m \u001b[0mwi\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mwp\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m     36\u001b[0m         \u001b[0mR\u001b[0m \u001b[0;34m-=\u001b[0m \u001b[0mR\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mmean\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     37\u001b[0m         \u001b[0mR\u001b[0m \u001b[0;34m/=\u001b[0m \u001b[0mR\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mstd\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;31m# standardize the rewards to be N(0,1) gaussian\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m<ipython-input-36-1046ab032f8d>\u001b[0m in \u001b[0;36m<listcomp>\u001b[0;34m(.0)\u001b[0m\n\u001b[1;32m     33\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     34\u001b[0m         \u001b[0;31m# draw estimated gradient as white arrow\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 35\u001b[0;31m         \u001b[0mR\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0marray\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mG\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mwi\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mwi\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;32mfor\u001b[0m \u001b[0mwi\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mwp\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m     36\u001b[0m         \u001b[0mR\u001b[0m \u001b[0;34m-=\u001b[0m \u001b[0mR\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mmean\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     37\u001b[0m         \u001b[0mR\u001b[0m \u001b[0;34m/=\u001b[0m \u001b[0mR\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mstd\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;31m# standardize the rewards to be N(0,1) gaussian\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;31mIndexError\u001b[0m: index 1024 is out of bounds for axis 0 with size 1000"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f32b7f9a898>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from math import ceil\n",
    "np.random.seed(3)\n",
    "nn = 5 # number of steps to take (and plot horizontally)\n",
    "alpha = 0.9 # learning rate\n",
    "sigma = 50 # \n",
    "pop_size = 500\n",
    "mm = 5\n",
    "\n",
    "plt.figure(figsize=(20,5*mm))\n",
    "\n",
    "\n",
    "for z in range(mm):\n",
    "    gl = GaussianLandscape(n=30)\n",
    "    G = gl.combine_gaussians()\n",
    "    w = np.array([500.0, 500.0]) # start point\n",
    "    prevx, prevy = [], []\n",
    "    for q in range(nn):\n",
    "\n",
    "        # draw the optimization landscape\n",
    "        m = ceil(nn*mm/5)\n",
    "        ax1 = plt.subplot(m,5,q+1 + (z*5))\n",
    "\n",
    "        plt.imshow(G, vmin=-1, vmax=1, cmap='jet')\n",
    "\n",
    "        # draw a population of samples in black\n",
    "        noise = np.random.randn(200, 2)\n",
    "        wp = np.expand_dims(w, 0) + sigma*noise\n",
    "        x,y = zip(*wp)\n",
    "        plt.scatter(x,y,4,'k', edgecolors='face')\n",
    "\n",
    "        # draw the current parameter vector in white\n",
    "        plt.scatter([w[0]],[w[1]],40,'w', edgecolors='face')\n",
    "\n",
    "        # draw estimated gradient as white arrow\n",
    "        R = np.array([G[int(wi[1]), int(wi[0])] for wi in wp])\n",
    "        R -= R.mean()\n",
    "        R /= R.std() # standardize the rewards to be N(0,1) gaussian\n",
    "        g = np.dot(R, noise)\n",
    "        u = alpha * g\n",
    "        plt.arrow(w[0], w[1], u[0], u[1], head_width=3, head_length=5, fc='w', ec='w')\n",
    "        plt.axis('off')\n",
    "        plt.title('iteration %d, reward %.2f, position (%d,%d)' % (q+1, G[int(w[0]), int(w[1])], w[0],w[1]))\n",
    "\n",
    "        # draw the history of optimization as a white line\n",
    "        prevx.append(w[0])\n",
    "        prevy.append(w[1])\n",
    "        if len(prevx) > 0:\n",
    "            plt.plot(prevx, prevy, 'wo-')\n",
    "\n",
    "        w += u\n",
    "        plt.axis('tight')\n",
    "\n",
    "#plt.savefig('evo.png',bbox_inches='tight',pad_inches=0,dpi=200)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Reinforcement Learning Solution"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
